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Journal of Porous Media

Published 12 issues per year

ISSN Print: 1091-028X

ISSN Online: 1934-0508

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Unsteady Flow and Heat Transfer of a Viscous Fluid in the Stagnation Region of a Three-Dimensional Body Embedded in a Porous Medium

Volume 9, Issue 4, 2006, pp. 357-372
DOI: 10.1615/JPorMedia.v9.i4.60
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I. A. Hassanien
Department of Mathematics, Faculty of Science, Assiut University, Assiut, Egypt
Fouad S. Ibrahim
Department of Mathematics, University College, Umm Al-Qura University, Makkah, Saudi Arabia; Department of Mathematics, Faculty of Science, Assiut University, Assiut, Egypt
Gh. M. Omer
Department of Mathematics, Faculty of Science, Assiut University, Assiut, Egypt

ABSTRACT

The unsteady flow and heat transfer flow of a viscous fluid in the stagnation region of a three-dimensional body embedded in the fluid-saturated porous medium was studied. The effects of the presence of the solid matrix and of viscous dissipation were analyzed. Both the nodal-point region and the saddle-point region were considered. With appropriate transformation, the boundary layer equations were reduced to semisimilar equations. Numerical solutions of these equations were obtained using the local nonsimilarity method with second-order truncation.

CITED BY

  1. Shuja S.Z., Yilbas B.S., Kassas M., Flow over porous blocks in a square cavity: Influence of heat flux and porosity on heat transfer rates, International Journal of Thermal Sciences, 48, 8, 2009. Crossref

  2. Munawar Sufian, Ali Asif, Mehmood Ahmer, Thermal analysis of the flow over an oscillatory stretching cylinder, Physica Scripta, 86, 6, 2012. Crossref

  3. Al-Harbi Saleh M., Self-Similar Solution of Heat and Mass Transfer of Unsteady Mixed Convection Flow on a Rotating Cone Embedded in a Porous Medium Saturated with a Rotating Fluid, Applied Mathematics, 02, 10, 2011. Crossref

  4. Astanina Marina S., Sheremet Mikhail A., Oztop Hakan F., Abu-Hamdeh Nidal, Natural convection in a differentially heated enclosure having two adherent porous blocks saturated with a nanofluid, The European Physical Journal Plus, 132, 12, 2017. Crossref

  5. Nield Donald A., Bejan Adrian, External Natural Convection, in Convection in Porous Media, 2017. Crossref

  6. Sivasankaran S., Niranjan H., Bhuvaneswari M., Chemical reaction, radiation and slip effects on MHD mixed convection stagnation-point flow in a porous medium with convective boundary condition, International Journal of Numerical Methods for Heat & Fluid Flow, 27, 2, 2017. Crossref

  7. Nield Donald A., Bejan Adrian, External Natural Convection, in Convection in Porous Media, 2013. Crossref

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